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Finding the Fourth Proportional to 6,434.48, 9,640.92 and 4,481.84

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Solution

The fourth proportional to 6,434.48, 9,640.92 and 4,481.84 is: 6,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.48 : 9,640.92 = 4,481.84 : x
  2. Step 2: Convert to fraction form
    6,434.48/9,640.92 = 4,481.84/x
  3. Step 3: Cross multiply
    6,434.48x = 9,640.92 × 4,481.84
  4. Step 4: Simplify right side
    6,434.48x = 43,209,060.89
  5. Step 5: Solve for x
    x = 43,209,060.89/6,434.48
  6. Step 6: Final answer
    x = 6,715.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.